A civil engineer is planning an experiment to compare the levels
of biological
oxygen demand (B.O.D.) at three different points in a river. These
are just upstream
of a sewage plant, five kilometers downstream, and ten kilometers
downstream.
Assume that in each case samples will be taken in the middle of the
stream (in
practice samples would likely be taken at several positions across
the stream and
averaged). One set of samples will be taken at 6 a.m., another will
be taken at 2 p.m.,
and a third will be taken at 10 p.m. The design will block the
effect of time of day, as
some interfering factors may be different at different times.
However, the interaction
of these interfering factors with location is expected to be
negligible.
a) If there is no replication aside from blocking, how many
tests are required?
b) List all tests.
c) Specify which set of tests constitute each block.
d) How should the order of tests be determined?
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